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April 21, 2015

Homework Help: PHYSICS (HELP)

Posted by Anonymous on Saturday, November 9, 2013 at 2:15pm.

A playground merry-go-round has a radius of R= 2 m and has a moment of inertia Icm= 9×103kg⋅m2 about a vertical axis passing through the center of mass. There is negligible friction about this axis. Two children each of mass m= 20kg are standing on opposite sides at a distance ro= 1.2m from the central axis. The merry-go-round is initially at rest. A person on the ground applies a constant tangential force of F= 2.0×102N at the rim of the merry-go-round for a time Δt= 18s . For your calculations, assume the children to be point masses.


(a) What is the angular acceleration α of the merry-go-round? (in rad/s2)

α=


(b) What is the angular velocity ωfinal of the merry-go-round when the person stopped applying the force? (in rad/s)

ωfinal=


(c) What average power Pavg does the person put out while pushing the merry-go-round? (in Watts)

Pavg=

(d) What is the rotational kinetic energy R.K.Efinal of the merry-go-round when the person stopped applying the force? (in kg⋅m2/s2)

R.K.Efinal=

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